There are lots of reasons for changing passwords. These range from routine security to fear that some may have been compromised. Whatever your reason, finding where to change passwords for each account can be difficult and time consuming.
In the case of a potential compromise, the compromised account will need to have its security updated and so should any email accounts that could be used for password recovery.
Where possible, you should also enable 2 factor authentication as this provides an additional level of security if passwords have been stolen. Since most 2 Factor Authentications systems rely on an authenticator app or contacting your phone or email, it is essential that you have more than one device that you can use for authentication. This protects you whether your authentication device is stolen or just dies.
Most financial institutions in the UK use the same type of card based authentication, so a card reader from one bank can normally be used as a card reader for a different one.